Friday, July 18, 2014

Likely Damage Inflicted 1d6, 1d8, and 1d10

I’ve been doing some number crunching in regards to Swords
& Wizardy other D&D-like combat systems while exploring some combat
variation.I generated a number of tables
for likely damage inflicted on a target based on chance to hit, weapon damage,
and referenced to AC to help out my number crunching and I’m sharing them here.

All the following tables use the S&W AC and hit chances
and have thaco included for reference for those DMs that use combat charts but
don’t use the base attack bonus method in their campaigns.

Likely damage suffered from an attack is average damage
multiplied by the chance to hit.

All tables following assume a 1 always misses and a 20
always hits on a d20 to hit roll.

Likely Damage Inflicted with 1d6
Weapon

AC

Thaco

20

19

18

17

16

15

14

13

12

11

10

9

8

7

6

5

4

Base
Attack Bonus

0

+1

+2

+3

+4

+5

+6

+7

+8

+9

+10

+11

+12

+13

+14

+15

+16

9
[10]

1.925

2.1

2.275

2.45

2.625

2.8

2.975

3.15

3.325

3.325

3.325

3.325

3.325

3.325

3.325

3.325

3.325

8
[11]

1.75

1.925

2.1

2.275

2.45

2.625

2.8

2.975

3.15

3.325

3.325

3.325

3.325

3.325

3.325

3.325

3.325

7
[12]

1.575

1.75

1.925

2.1

2.275

2.45

2.625

2.8

2.975

3.15

3.325

3.325

3.325

3.325

3.325

3.325

3.325

6
[13]

1.4

1.575

1.75

1.925

2.1

2.275

2.45

2.625

2.8

2.975

3.15

3.325

3.325

3.325

3.325

3.325

3.325

5
[14]

1.225

1.4

1.575

1.75

1.925

2.1

2.275

2.45

2.625

2.8

2.975

3.15

3.325

3.325

3.325

3.325

3.325

4
[15]

1.05

1.225

1.4

1.575

1.75

1.925

2.1

2.275

2.45

2.625

2.8

2.975

3.15

3.325

3.325

3.325

3.325

3
[16]

0.875

1.05

1.225

1.4

1.575

1.75

1.925

2.1

2.275

2.45

2.625

2.8

2.975

3.15

3.325

3.325

3.325

2
[17]

0.7

0.875

1.05

1.225

1.4

1.575

1.75

1.925

2.1

2.275

2.45

2.625

2.8

2.975

3.15

3.325

3.325

1
[18]

0.525

0.7

0.875

1.05

1.225

1.4

1.575

1.75

1.925

2.1

2.275

2.45

2.625

2.8

2.975

3.15

3.325

0
[19]

0.35

0.525

0.7

0.875

1.05

1.225

1.4

1.575

1.75

1.925

2.1

2.275

2.45

2.625

2.8

2.975

3.15

-1
[20]

0.175

0.35

0.525

0.7

0.875

1.05

1.225

1.4

1.575

1.75

1.925

2.1

2.275

2.45

2.625

2.8

2.975

-2
[21]

0.175

0.175

0.35

0.525

0.7

0.875

1.05

1.225

1.4

1.575

1.75

1.925

2.1

2.275

2.45

2.625

2.8

-3
[22]

0.175

0.175

0.175

0.35

0.525

0.7

0.875

1.05

1.225

1.4

1.575

1.75

1.925

2.1

2.275

2.45

2.625

Likely Damage inflicted by 1d8 (or
1d6+1) Weapon

AC

Thaco

20

19

18

17

16

15

14

13

12

11

10

9

8

7

6

5

4

Base
Attack Bonus

0

+1

+2

+3

+4

+5

+6

+7

+8

+9

+10

+11

+12

+13

+14

+15

+16

9
[10]

2.475

2.7

2.925

3.15

3.375

2.8

2.975

3.15

4.275

4.275

4.275

4.275

4.275

4.275

4.275

4.275

4.275

8
[11]

2.25

2.475

2.7

2.925

3.15

3.375

2.8

2.975

3.15

4.275

4.275

4.275

4.275

4.275

4.275

4.275

4.275

7
[12]

2.025

2.25

2.475

2.7

2.925

3.15

3.375

2.8

2.975

3.15

4.275

4.275

4.275

4.275

4.275

4.275

4.275

6
[13]

1.8

2.025

2.25

2.475

2.7

2.925

3.15

3.375

2.8

2.975

3.15

4.275

4.275

4.275

4.275

4.275

4.275

5
[14]

1.575

1.8

2.025

2.25

2.475

2.7

2.925

3.15

3.375

2.8

2.975

3.15

4.275

4.275

4.275

4.275

4.275

4
[15]

1.35

1.575

1.8

2.025

2.25

2.475

2.7

2.925

3.15

3.375

2.8

2.975

3.15

4.275

4.275

4.275

4.275

3
[16]

1.125

1.35

1.575

1.8

2.025

2.25

2.475

2.7

2.925

3.15

3.375

2.8

2.975

3.15

4.275

4.275

4.275

2
[17]

0.9

1.125

1.35

1.575

1.8

2.025

2.25

2.475

2.7

2.925

3.15

3.375

2.8

2.975

3.15

4.275

4.275

1
[18]

0.675

0.9

1.125

1.35

1.575

1.8

2.025

2.25

2.475

2.7

2.925

3.15

3.375

2.8

2.975

3.15

4.275

0
[19]

0.45

0.675

0.9

1.125

1.35

1.575

1.8

2.025

2.25

2.475

2.7

2.925

3.15

3.375

2.8

2.975

3.15

-1
[20]

0.225

0.45

0.675

0.9

1.125

1.35

1.575

1.8

2.025

2.25

2.475

2.7

2.925

3.15

3.375

2.8

2.975

-2
[21]

0.225

0.225

0.45

0.675

0.9

1.125

1.35

1.575

1.8

2.025

2.25

2.475

2.7

2.925

3.15

3.375

2.8

-3
[22]

0.225

0.225

0.225

0.45

0.675

0.9

1.125

1.35

1.575

1.8

2.025

2.25

2.475

2.7

2.925

3.15

3.375

Likely Damage Inflicted by 1d10 (or
1d6+2) Weapon

AC

Thaco

20

19

18

17

16

15

14

13

12

11

10

9

8

7

6

5

4

Base
Attack Bonus

0

+1

+2

+3

+4

+5

+6

+7

+8

+9

+10

+11

+12

+13

+14

+15

+16

9
[10]

3.025

3.3

3.575

3.85

4.125

4.4

4.675

4.95

5.225

5.225

5.225

5.225

5.225

5.225

5.225

5.225

5.225

8
[11]

2.75

3.025

3.3

3.575

3.85

4.125

4.4

4.675

4.95

5.225

5.225

5.225

5.225

5.225

5.225

5.225

5.225

7
[12]

2.475

2.75

3.025

3.3

3.575

3.85

4.125

4.4

4.675

4.95

5.225

5.225

5.225

5.225

5.225

5.225

5.225

6
[13]

2.2

2.475

2.75

3.025

3.3

3.575

3.85

4.125

4.4

4.675

4.95

5.225

5.225

5.225

5.225

5.225

5.225

5
[14]

1.925

2.2

2.475

2.75

3.025

3.3

3.575

3.85

4.125

4.4

4.675

4.95

5.225

5.225

5.225

5.225

5.225

4
[15]

1.65

1.925

2.2

2.475

2.75

3.025

3.3

3.575

3.85

4.125

4.4

4.675

4.95

5.225

5.225

5.225

5.225

3
[16]

1.375

1.65

1.925

2.2

2.475

2.75

3.025

3.3

3.575

3.85

4.125

4.4

4.675

4.95

5.225

5.225

5.225

2
[17]

1.1

1.375

1.65

1.925

2.2

2.475

2.75

3.025

3.3

3.575

3.85

4.125

4.4

4.675

4.95

5.225

5.225

1
[18]

0.825

1.1

1.375

1.65

1.925

2.2

2.475

2.75

3.025

3.3

3.575

3.85

4.125

4.4

4.675

4.95

5.225

0
[19]

0.55

0.825

1.1

1.375

1.65

1.925

2.2

2.475

2.75

3.025

3.3

3.575

3.85

4.125

4.4

4.675

4.95

-1
[20]

0.275

0.55

0.825

1.1

1.375

1.65

1.925

2.2

2.475

2.75

3.025

3.3

3.575

3.85

4.125

4.4

4.675

-2
[21]

0.275

0.275

0.55

0.825

1.1

1.375

1.65

1.925

2.2

2.475

2.75

3.025

3.3

3.575

3.85

4.125

4.4

-3
[22]

0.275

0.275

0.275

0.55

0.825

1.1

1.375

1.65

1.925

2.2

2.475

2.75

3.025

3.3

3.575

3.85

4.125

For folks that want to do some number crunching of their
own here’s the hit chance table expressed as a percent chance to hit.

%hit table

AC

Thaco

20

19

18

17

16

15

14

13

12

11

10

9

8

7

6

5

4

Base
Attack Bonus

0

+1

+2

+3

+4

+5

+6

+7

+8

+9

+10

+11

+12

+13

+14

+15

+16

9
[10]

55

60

65

70

75

80

85

90

95

95

95

95

95

95

95

95

95

8
[11]

50

55

60

65

70

75

80

85

90

95

95

95

95

95

95

95

95

7
[12]

45

50

55

60

65

70

75

80

85

90

95

95

95

95

95

95

95

6
[13]

40

45

50

55

60

65

70

75

80

85

90

95

95

95

95

95

95

5
[14]

35

40

45

50

55

60

65

70

75

80

85

90

95

95

95

95

95

4
[15]

30

35

40

45

50

55

60

65

70

75

80

85

90

95

95

95

95

3
[16]

25

30

35

40

45

50

55

60

65

70

75

80

85

90

95

95

95

2
[17]

20

25

30

35

40

45

50

55

60

65

70

75

80

85

90

95

95

1
[18]

15

20

25

30

35

40

45

50

55

60

65

70

75

80

85

90

95

0
[19]

10

15

20

25

30

35

40

45

50

55

60

65

70

75

80

85

90

-1[20]

5

10

15

20

25

30

35

40

45

50

55

60

65

70

75

80

85

-2[21]

5

5

10

15

20

25

30

35

40

45

50

55

60

65

70

75

80

-3[22]

5

5

5

10

15

20

25

30

35

40

45

50

55

60

65

70

75

I didn’t go past +17 to hit as I’m going through all this
for analysis of general combat rules and in my house rules and Swords &
Wizardry darned few attacks are going to be happening over +13so I figured +16 was a safe cut-off point. I
likewise stopped at AC -3[22] for similar limitations in likely bounds.

Note; some of the charts are going to crash on some browser settings but they fit using the printfriendly widget at a scale of 90%.

2 comments:

Haven't had a chance to read through this data yet - very interested in it - but the charts are... aligned funny. They're bigger than the width of your blog. Not sure if this can be fixed with zooming in or out (on the reader's end) or with editing (on your end). It tends to happen with Blogger, for whatever reason.

I haven't been able to figure out how to get blogger to behave with charts all the time yet. As I mention above it is useable and readable using the Print Friendlily widget (,ay or may not have to resize).

About Me

A RPG player who thinks he has something to share. Discovered wargaming at the age of 9 or so thanks to Avalon Hill. Started playing D&D in the later days of the 70's as one of those annoying kids and currently games with spouse, family and friends.